scholarly journals Linear Quadratic Methods of Vibration Suppression in the Mock-Up Flexible Appendage

2017 ◽  
pp. 1-28
Author(s):  
Aleksey Igorevich Shestopyorov ◽  
Stepan Sergeevich Tkachev
Keyword(s):  
Vibration Suppression ◽  
Linear Quadratic ◽  
Flexible Appendage

scholarly journals Strain Sensing With Piezoelectric Zinc Oxide Thin Films for Vibration Suppression in Hard Disk Drives

2008 ◽  
Author(s):  
Sarah Felix ◽  
Stanley Kon ◽  
Jianbin Nie ◽  
Roberto Horowitz
Keyword(s):  
Vibration Suppression ◽  
Transfer Functions ◽  
Hard Disk Drives ◽  
Hard Disk ◽  
Disk Drive ◽  
Strain Sensing ◽  
Linear Quadratic ◽  
H2 Control ◽  
Hard Drives ◽  
Optimization Methodology

This paper describes the integration of thin film ZnO strain sensors onto hard disk drive suspensions for improved vibration suppression for tracking control. Sensor location was designed using an efficient optimization methodology based on linear quadratic gaussian (LQG) control. Sensors were fabricated directly onto steel wafers that were subsequently made into instrumented suspensions. Prototype instrumented suspensions were installed into commercial hard drives and tested. For the first time, a sensing signal was successfully obtained while the suspension was flying on a disk as in normal drive operation. Preliminary models were identified from experimental transfer functions. Nominal H2 control simulations demonstrated improved vibration suppression as a result of both the better resolution and higher sensing rate provided by the sensors.

Active Control of Flexible Riser Vibration by Boundary Control Based on LQR Controller

2019 ◽  
Author(s):  
Jinxin Yu ◽  
Weimin Chen
Keyword(s):  
Boundary Control ◽  
Vibration Suppression ◽  
Lateral Displacement ◽  
Open Loop ◽  
Loop System ◽  
Ocean Current ◽  
Control Law ◽  
Flexible Riser ◽  
Linear Quadratic ◽  
Rotational Angle

Abstract The lateral displacement and the rotational angle of marine riser are likely to get larger as it is in stronger ocean current and, particularly, undergoes the consequences such as vortex-induced vibration or collisions between individual risers. The riser vibration with large amplitude value will lead to fatigue or coating damage of the structural body. In this study, the active vibration control, in terms of its angle and the displacement reductions, of a flexible riser under time-varying distributed load are considered using boundary control. The governing equations of the structural dynamics involving the control system of a flexible riser are built. The riser is modeled as an Euler-Bernoulli beam under the actions of ocean loads and the feedback controller. A torque actuator is introduced at the upper riser boundary, and the control law is employed to generate the required signal for riser angle control and displacement reduction. The feed-back control law is designed in state space, and the optimization of the control law is implemented based on the LQR approach. The linear quadratic regulator is used to determine the gain matrix, which can calculate the boundary control law by solving the Recatti equation. Based on the numerical simulations, the responses of the open-loop system and closed-loop system are presented and compared. The effectiveness of the vibration suppression of the flexible riser is examined.

Dynamic Modeling and Vibration Control of a Space Flexible Manipulator Using Piezoelectric Actuators and Sensors

2011 ◽  
Vol 345 ◽  
pp. 46-52 ◽  
Author(s):  
Jun Qiang Lou ◽  
Yan Ding Wei
Keyword(s):  
Vibration Control ◽  
Dynamic Modeling ◽  
Vibration Suppression ◽  
Equations Of Motion ◽  
Linear Quadratic Regulator ◽  
Flexible Manipulator ◽  
Coupled Vibration ◽  
Linear Quadratic ◽  
Space Manipulator ◽  
Tip Mass

This paper concerns the dynamic modeling and vibration control of a space two-link flexible manipulator. Two types of PZT actuators, PZT shear actuator and torsional actuator, are used to suppress the bending-torsional-coupled vibration of the space manipulator. Using extended Hamilton’s principle and the finite element method, equations of motion of the space flexible manipulator with PZT actuators and tip mass are obtained. Based on modal analyze theory, the state space model of the system is then used to design the control system. A linear quadratic regulator (LQR) controller is designed to achieve vibration suppression of the space manipulator system. From the numerical results, we can get that the proposed controller has a suitable and efficient performance suppressing the bending-torsional-coupled vibration of the space two-link flexible manipulator.

Analytical Investigation on Elastodynamic Vibration Suppression of a Flexible Four-Bar Mechanism System Featuring a Smart Coupler Link and Multivariable Optimal Regulator

1997 ◽  
Author(s):  
Muhammad Sannah ◽  
Ahmad Smaili
Keyword(s):  
Active Control ◽  
Smart Materials ◽  
Vibration Suppression ◽  
Controller Design ◽  
Linear Quadratic Regulator ◽  
Piezoelectric Sensor ◽  
Analytical Investigation ◽  
Vibration Modes ◽  
Linear Quadratic ◽  
Luenberger Observer

Abstract This paper presents an analytical investigation on active control of the elastodynamic response of a four-bar (4R) mechanism system using “smart” materials featuring piezoelectric sensor/actuator (S/A) pairs and multivariable optimal control. The 4R mechanism consists of a flexible coupler link, relatively flexible follower link, and a relatively rigid crank. Two thin plate-type piezoceramic S/A pairs are bonded to the flanks of the coupler link at high strain locations corresponding to the first and second vibration modes. Based on the optimal multivariable control theory, a controller which consists of a linear quadratic regulator (LQR) and a Luenberger observer as a state estimator is designed and implemented. As the mechanism changes configuration, its modal characteristics are recalculated, and the controller is redesigned. The dynamic model used for the controller design includes the second and fourth vibration modes of the mechanism system. These modes are predominated by the first two bending modes of the mechanism’s coupler link. The results showed that while the proposed active control strategy is successful in reducing the amplitudes of vibrations about the quasistatic response, it has no effect on the quasistatic deflections due to steady state loading.

Optimal Piezoelectric Sensors and Actuators Deployment for Active Vibration Suppression of Satellite Antenna Reflector

2012 ◽  
Vol 479-481 ◽  
pp. 1490-1494 ◽  
Author(s):  
Wen Bo Li ◽  
Xiao Ran Li ◽  
Zhi Gang Zhao ◽  
You Yi Wang ◽  
Yang Zhao
Keyword(s):  
Vibration Suppression ◽  
Piezoelectric Materials ◽  
Active Vibration Control ◽  
Antenna System ◽  
Gram Matrix ◽  
Linear Quadratic ◽  
Sensors And Actuators ◽  
Satellite Antenna ◽  
Active Vibration ◽  
Antenna Reflector

To solve the problem of active vibration control for satellite antenna reflector, which is weak damping and closely spaced modes, the optimal actuators/sensors deployment and controller designing need to be considered. Firstly, the optimal criterions of controllability and observability are designed according to the specificity of Gram Matrix eigenvalue in satellite antenna system equations. Secondly, based on the above criterions, piezoelectric materials (as sensors and actuators) and genetic algorithm are utilized to optimize the deployed locations of sensors and actuators. Finally, to suppress the vibration of satellite antenna reflector, a Linear Quadratic Gaussian (LQG) controller is designed under the impulse and white noise excitation respectively. The simulate results show the effectively deployed locations of sensors and actuators, and the correctness of designed LQG controller.

Control of the Continuum Model of a Large Flexible Space Structure

Aerospace ◽  
2006 ◽  
Author(s):  
Armaghan Salehian ◽  
T. Michael Seigler ◽  
Daniel J. Inman
Keyword(s):  
Continuum Model ◽  
Vibration Suppression ◽  
Space Structure ◽  
Truss Structure ◽  
Distributed Parameter ◽  
Beam Model ◽  
Control Force ◽  
Linear Quadratic ◽  
Distributed Parameter Model ◽  
Lqr Problem

An analytical approach is presented here to develop a continuum model of a space radar antenna and the truss structure for the purpose of the control and vibration suppression. Kinetic and potential energy expressions are given for the equivalent homogenized 1-D model. Hamilton's principle is applied to find the governing partial differential equations for this structure. The equations for bending are similar to an extended Timoshenko beam model. A Linear, Quadratic, Regulator (LQR) problem is solved to find the optimal solution for feedback control design of the distributed parameter model. The control force designed this way is applied to a Finite Element Model (FEM) of the truss structure for the purpose of validation. Results from the FEM are shown to be in good agreement with the distributed parameter model.

Design and performance comparison of interconnection and damping assignment passivity-based control for vibration suppression in active suspension systems

2020 ◽  
pp. 107754632093374
Author(s):  
Pramod Sistla ◽  
Sheron Figarado ◽  
Krishnan Chemmangat ◽  
Narayan Suresh Manjarekar ◽  
Gangadharan Kallu Valappil
Keyword(s):  
Vibration Suppression ◽  
Sliding Mode ◽  
Active Suspension ◽  
Control Law ◽  
Linear Quadratic ◽  
Scaled Model ◽  
Suspension Systems ◽  
Active Suspension Systems ◽  
Special Cases ◽  
Passivity Based Control

This study presents the design of interconnection and damping assignment passivity-based control for active suspension systems. It is well known that interconnection and damping assignment passivity-based control’s design methodology is based on the physical properties of the system where the kinetic and potential energy profiles are shaped, and asymptotic stability is achieved by damping injection. Based on the choice of control variables, special cases of the control law are derived, and tuning of the control law with the physical meaning of the variables is demonstrated along with their simulation results. The proposed control law is experimentally validated on a scaled model of a quarter-car active suspension system with different road profiles, varying load conditions, and noise and delay in the sensor measurements and actuator respectively. The results are compared with that of an uncontrolled system with linear quadratic regulator and sliding mode control.

Active multimodal vibration suppression of a flexible structure with piezoceramic sensor and actuator by using loop shaping

2011 ◽  
Vol 17 (13) ◽  
pp. 1994-2006 ◽  
Author(s):  
V Sethi ◽  
MA Franchek ◽  
G Song
Keyword(s):  
Vibration Suppression ◽  
Parametric Identification ◽  
Open Loop ◽  
Pole Placement ◽  
Flexible Beam ◽  
Loop Model ◽  
Linear Quadratic ◽  
Beam Structure ◽  
Control Effort ◽  
Loop Shaping

This paper represents active multimodal vibration control of a flexible beam structure with piezoceramic (PZT) actuators and sensors using the loop shaping method. With surface-bonded PZT patch actuators and sensors, the flexible beam has both sensing and actuating capacities. Due to its flat auto spectrum in the specified frequency range, the Schroeder wave is used as an excitation signal for the non-parametric identification of the flexible beam structure. The identified open loop model is then used for the closed loop design by using the loop shaping method based on the extended sensitivity charts. A loop shaping compensator is designed to achieve multimodal vibration suppression. Numerical results showed a reduction of 8 decibels for the first mode and 12–14 decibels for the second and third modes. Experimental results closely match the simulation results. Furthermore, the results of loop shaping method are compared with those of the methods of linear quadratic regulator and pole-placement control, which are designed based on state space models via the parametric identification of the flexible beam. Comparisons show that the loop shaping method is easier to design since a parametric identification is not required and requires less control effort while maintaining the effectiveness in vibration suppression.

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